College Algebra (11th Edition)

Published by Pearson
ISBN 10: 0321671791
ISBN 13: 978-0-32167-179-0

Chapter R - Section R.3 - Polynomials - R.3 Exercises: 33

Answer

Polynomial; Degree of 11; None of these

Work Step by Step

A polynomial is a term or finite sum of terms with only positive or zero integer exponents. 15$a^{2}b^{3}$ + 12$a^{3}b^{8}$ - 13$b^{5}$ + 12$b^{6}$ is a polynomial but has four terms, so it is neither a monomial, binomial, nor trinomial. Its degree is 11 because the term with the largest degree is 12$a^{3}b^{8}$, and by adding the exponents we get the degree: 3 + 8 = 11
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